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  /    /  Profesor. dr. Muharem Avdispahić
Prof. dr. Muharem Avdispahić

IME I PREZIME:  Muharem Avdispahić
AKADEMSKO ZVANJE:  Redovni profesor
BROJ TELEFONA:  ++ 387 33 279 871
BROJ KABINETA:  442
E-MAIL:  mavdispa@pmf.unsa.ba
KONSULTACIJE:  utorak: 12:00-14:00 i četvrtak 12:00 – 15:00 sati

Obrazovanje

  • 1984                 doktor matematičkih nauka, Univerzitet u Sarajevu
  • 1982                 magistar matematičkih nauka, Univerzitet u Sarajevu
  • 1978 – 1980    postdiplomski studij matematike, Univerzitet u Sarajevu
  • 1977 – 1979    postdiplomski studij filozofije, Univerzitet u Sarajevu
  • 1977                 diplomirani matematičar, Univerzitet u Sarajevu

Akademsko iskustvo

  • 2012 – 2016    rektor Univerziteta u Sarajevu
  • 1995 – 2000    prorektor Univerziteta u Sarajevu
  • 1992 – 2000    dekan Prirodno-matematičkog fakulteta u Sarajevu
  • 1999 – 2002    profesor na University of Maryland College Europe
  • 1993 –           redovni profesor na Odsjeku za matematiku Univerziteta u Sarajevu
  • 1991 –           voditelj postdiplomskog studija matematičkih nauka, Univerzitet u Sarajevu
  • 1987 – 1993    vanredni profesor na Univerzitetu “Džemal Bijedić” u Mostaru i Univerzitetu u Sarajevu
  • 1985 – 1987    docent na Univerzitetu “Džemal Bijedić” u Mostaru i Univerzitetu u Sarajevu
  • 1986 – 1989    šef Katedre za matematiku, fiziku i statistiku Univerziteta “Džemal Bijedić” u Mostaru
  • 1982 – 1985    viši asistent na Građevinskom fakultetu Univerziteta “Džemal Bijedić” u Mostaru
  • 1978 – 1982    asistent na Građevinskom fakultetu Univerziteta “Džemal Bijedić” u Mostaru

Naučni radovi

  1. M. Avdispahić, Effective bounds for Huber's constant and Faltings's delta function, Mathematics of Computation, https://doi.org/10.1090/mcom/3631
  2. M. Avdispahić, On von Koch theorem for PSL(2,Z), Bull. Malays. Math. Sci. Soc.(2020) https://doi.org/10.1007/s40840-020-01053-z, electronically published 29 November 2020
  3. M. Avdispahić, F. Zejnulahi, An integer sequence with a divisibility property, The Fibonacci Quarterly 58 (2020), No. 4, 321-327
  4. M. Avdispahić, Z. Šabanac, Gallagherian prime geodesic theorem in higher dimensions, Bull. Malays. Math. Sci. Soc. 43 (2020), No. 4, 3019-3026. https: //doi.org/10.1007/s40840-019-00849-y
  5. M. Avdispahić, A prime geodesic theorem of Gallagher type for Riemann surfaces, Analysis Mathematica (Springer) 46 (2020), No. 1, 25-38. DOI: 10.1007/s10476-020-0013-2
  6. M. Avdispahić, Prime geodesic theorem for the modular surface, Hacettepe Journal of Mathematics and Statistics 49 (2020), No. 2, 505-509. https://doi.org/10.15672/ hujms.568323
  7. Muharem Avdispahić, On Koyama's refinement of the prime geodesic theorem, Proceedings of the Japan Academy. Ser. A. Mathematical Sciences 94 (2018), no 3, 21-24.
  8. Muharem Avdispahić, On the prime geodesic theorem for hyperbolic 3-manifolds, Mathematische Nachrichten, 2018 (to appear).
  9. Muharem Avdispahić, Gallagherian PGT on PSL(2,Z), Functiones et Approximatio. Commentarii Mathematici, 2018 (prihvaćen za objavljivanje)
  10. Muharem Avdispahić, Zenan Šabanac, Determination of a jump by Fourier and Fourier-Chebyshev series, Bulletin of the Iranian Mathematical Society (BIMS), 2017 (prihvaćen za objavljivanje)
  11. M. Avdispahić, Z.Šabanac, Strong boundedness, strong convergence and generalized variation, Acta Math. Hungar., 2017 (prihvaćen za objavljivanje)
  12. H. Alajbegović, M. Avdispahić, Zeta functions and subgroup growth in $P2/m$, Journal of Mathematical Chemistry, 54 (2016), No. 1, 331-343; (28 September 2015)
  13. H. Alajbegović, M. Avdispahić, Zeta and normal zeta functions for a subclass of space groups, Journal of Mathematical Chemistry, 53 (2015), No. 7, 1537-1548; DOI: 10.1007/s10910-015-0504-8 (18 April 2015)
  14. M. Avdispahić, Dž. Gušić, Order of zeta functions for compact odd-dimensional locally symmetric spaces, http://arxiv.org/pdf/1412.6969.pdf
  15. M. Avdispahić, Dž. Gušić, On the logarithmic derivative of zeta functions for compact even-dimensional locally symmetric spaces, http://arxiv.org/pdf/1410.7384.pdf
  16.  M. Avdispahić, Dž. Gušić, Distribution of the zeta functions singularities for compact even-dimensional locally symmetric spaces, http://arxiv.org/pdf/1410.7209.pdf
  17. M. Avdispahić, Dž. Gušić, Order of Selberg's and Ruelle's zeta functions for compact even-dimensional locally symmetric spaces, Journal of Mathematical Analysis and Applications (New York, USA) (2014); dx.doi.org/10.1016/j.jmaa.2013.10.052
  18. M. Avdispahić, N. Memić and F. Weisz, Maximal functions, Hardy spaces and Fourier multiplier theorems on unbounded Vilenkin groups, Journal of Mathematical Analysis and Applications (New York, USA) 390 (2012), 68-73; doi: 10.10016/j.jmaa 2012.01.019
  19. M. Avdispahić, Dž. Gušić: On the error term in the prime geodesic theorem, Bulletin of the Korean Mathematical Society 49 (2012), No. 2, 367-372; http://dx.doi.org/10.4134/ BKMS.2012.49.2.367
  20. M. Avdispahić, J. Jorgenson, L. Smajlović: Asymptotic behavior of the Selberg zeta functions for degenerating families of hyperbolicmanifolds, Communications in Mathematical Physics 310 (2012), 217-236; DOI 10.1007/s00220-011-1408-5
  21. M. Avdispahić, Dž. Gušić, A weighted prime geodesic theorem, Math. Balkanica (N.S.) 25 (2011), Fasc. 5,
  22. M. Avdispahić, N. Memić: A derivative on the field of p-adic numbers, p-Adic Numbers, Ultrametric Analysis and Applications 2 (2010), no. 4, 278-284.
  23. M. Avdispahić, N. Memić: On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups, Acta Mathematica Hungarica DOI: 10.1007/s10474-010- 0023-9; 129 (2010), No. 4, 381-392
  24. M. Avdispahić, N. Memić: Fourier multiplier theorem for atomic Hardy spaces on unbounded Vilenkin groups, Journal of Mathematical Analysis and Applications (New York, USA) doi:10.1016/j.jmaa.2009.09.037 363 (2010), No.2 , 588-595
  25. M. Avdispahić, L. Smajlović: On the logarithmic derivative of the Selberg zeta function. Preprint (2010)
  26. M. Avdispahić, L. Smajlović: On the Selberg orthogonality for automorphic Lfunctions, Archiv der Mathematik (Basel, Switzerland), DOI: 10.1007/s00013-009- 0099-z, published online on January 22, 2010, 94 (2010), No.2, 147-154
  27. M. Avdispahić, L. Smajlović: On the prime number theorem for a compact Riemann surface, Rocky Mountain Journal of Mathematics, Arizona State University (Tempe, Arizona, USA) 39 (2009), No. 6, 1837-1845
  28. M. Avdispahić, L. Smajlović: Euler constants for Fuchsian groups of the first kind, Acta Arithmetica, Institutum Mathematicum, Academia Scientiarum Polona (Warsaw, Poland) 131 (2008), No. 2, 125-143
  29. M. Avdispahić, L. Smajlović: Primes, zeros and explicit formulas in: Proceedings of the LUMS International Conference on Mathematics and its Applications in Information Technology
  30. M. Avdispahić, L. Smajlović: Explicit formulas and Euler constants on algebraic number fields, International Journal of Applied Mathematics and Statistics. Special Issue on Leonhard Paul Euler's Tricentennial: Mathematical Topics and Applications. 11 (2007), No. 7, 13-20
  31. M. Avdispahić, L. Smajlović: Functional equation in the fundamental class and the type of explicit formula, Annals of the European Academy of Sciences 2006-2007 (Liège, Belgium) Online Edition 1784-357X
  32. M. Avdispahić, L. Smajlović: Explicit formula for the hyperbolic scattering determinant, Acta Mathematica Sinica. English Series. Springer-Verlag (Heidelberg, Germany) DOI: 10.1007/s10114-005-0791-2, published online on June 17, 2006, 23 (2007), No. 5, 889-894
  33. M. Avdispahić, L. Smajlović: A note on Weil’s explicit formula, in: A. Yu. Krennikov, Z. Rakić, I. V. Volovich, p-adic Mathematical Physics, American Institute of Physics Conference Proceedings (Melville, New York, USA) 826 (2006), 312-319
  34. M. Avdispahić, H. Jamak: Multimodules over multirings (II), International Journal of Pure and Applied Mathematics (Sofia, Bulgaria) (accepted for publication)
  35. M. Avdispahić, L. Smajlović: A new explicit formula for the fundamental class of functions, Taiwanese Journal of Mathematics (Taipeh, Taiwan) 10 (2006) No. 6, 1523-1538
  36. M. Avdispahić, L. Smajlović: An explicit formula and its application to the Selberg trace formula, Monatshefte für Mathematik, Springer-Verlag (Vienna, Austria)) DOI 10.1007/s00605-005-0317-0 published online on February 10, 2006, 147 (2006), No. 3, 183-198
  37. M. Avdispahić, L. Smajlović: On maximal operators on k-spheres in Zn, Proceedings of the American Mathematical Society (Providence, Rhode Island, USA), posted on January 17, 2006, PII: S 0002-9939(06)08458-9 134 (2006), No. 7, 2125-2130
  38. M. Avdispahić, L. Smajlović: Explicit formula for a fundamental class of functions, Bulletin of the Belgian Mathematical Society Simon Stevin (Brussels, Belgium) 12 (2005) No. 4, 569-587.
  39. M. Avdispahić, L. Smajlović: f -variation and Barner-Weil functional, Mathematica Balkanica (Sofia, Bulgaria) 17 (2003), No. 3-4, 267-289.
  40. M. Avdispahić, M. Pepić: On summabilty in Lp -norm on general Vilenkin groups, Taiwanese Journal of Mathematics (Taipeh, Taiwan) 4 (2000), 285-296
  41. M. Avdispahić, M. Pepić: Summability and integrability of Vilenkin series, Collectanea Mathematica (Barcelona, Spain) 51 (2000), 237-254
  42. M. Avdispahić, M. Pepić: An integrability theorem on unbounded Vilenkin groups, Journal of Mathematical Analysis and Applications (New York, USA) 175 (1993), 438-447
  43. M. Avdispahić: Besov spaces and generalized Lipschitz spaces on Vilenkin groups are identical, Colloquia Mathematica Societatis Janos Bolayi 58. Approximation Theory, Kecskemet (Hungary) 1990, North Holland, Amsterdam-Oxford-New York 1991, 41- 50
  44. M. Avdispahić: Note on approximation in locally compact groups, Functiones et Approximatio. Commentarii Mathematici (Poznan, Poland) 16 (1988), 191-195
  45. M. Avdispahić, Criteria for absolute and strong convergence of Fourier series, Czechoslovak Mathematical Journal (Prague, Czech Republic) 37 (112) (1987), no. 4, 547-550.
  46. On the strong convergence of trigonometric series of a special type, Radovi matematički (Sarajevo, Bosnia and Herzegovina), 3 (1987), no. 2, 317-324.
  47. M. Avdispahić: Concepts of generalized variation on Vilenkin groups and convergence of Fourier-Vilenkin series, Colloquia Mathematica Societatis Janos Bolayi 49. Alfred Haar Memorial Conference, Budapest (1985), North Holland, Amsterdam 1987, 145-163
  48. M. Avdispahić: Concepts of generalized bounded variation and the theory of Fourier series, International Journal of Mathematics and Mathematical Sciences (Orlando, Florida, USA) 9 (1986), no. 2, 223-244
  49. M. Avdispahić: Fejer's theorem for the classes Vp, Rendiconti del Circolo Matematico di Palermo (Palermo, Italy) 35 (1986), no. 1, 90-101
  50. M. Avdispahić: On the determination of the jump of a function by its Fourier series, Acta Mathematica Hungarica (Budapest, Hungary) 48 (1986), no. 3-4, 267-271.
  51. M. Avdispahić: An Izumis’ theorem on the absolute convergence of Fourier series and its generalizations, Radovi matematički (Sarajevo, Bosnia and Herzegovina), 1 (1985), no. 2, 231-240
  52. M. Avdispahić: On the classes LBV and V[n ], Proceedings of the American Mathematical Society (Providence, Rhode Island, USA) 95 (1985), no. 2, 230-234
  53. M. Avdispahić, N. Tanović-Miller: On the spectra of nonnegative triangular matrix transformations. Analysis (Munich, Germany) 3 (1983), no. 1-4, 39-54
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